The correct answer is: two-thirds
Hyphens are used to link words and parts of words, they show the reader that two or more elements in a sentence are related. Following the grammatical rules, they can be used when a fraction is spelled, except when <em>a </em>or <em>an </em>is used to introduce it.
For example:
I gave you <em>one-third </em>of my cake.
I gace you <em>a third</em> of my cake.
In <em>a </em>or <em>an </em>is not used so a hyphen can be used.